Abstract
We derive local integral and sup- estimates for the curvature of stable marginally outer trapped surfaces in a sliced space-time. The estimates bound the shear of a marginally outer trapped surface in terms of the intrinsic and extrinsic curvature of a slice containing the surface. These estimates are well adapted to situations of physical interest, such as dynamical horizons.
Citation
Lars Andersson. Jan Metzger. "Curvature estimates for stable marginally trapped surfaces." J. Differential Geom. 84 (2) 231 - 265, February 2010. https://doi.org/10.4310/jdg/1274707313
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